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Finding the Fourth Proportional to 33,053.50, 49,580.25 and 8,429.50

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Solution

The fourth proportional to 33,053.50, 49,580.25 and 8,429.50 is: 12,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,053.50 : 49,580.25 = 8,429.50 : x
  2. Step 2: Convert to fraction form
    33,053.50/49,580.25 = 8,429.50/x
  3. Step 3: Cross multiply
    33,053.50x = 49,580.25 × 8,429.50
  4. Step 4: Simplify right side
    33,053.50x = 417,936,717.38
  5. Step 5: Solve for x
    x = 417,936,717.38/33,053.50
  6. Step 6: Final answer
    x = 12,644.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.